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Finding the Third Proportional to 230,599.41 and 505,622.25

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Solution

The third proportional to 230,599.41 and 505,622.25 is: 1,108,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,599.41 : 505,622.25 = 505,622.25 : x
  2. Step 2: Convert to fraction form
    230,599.41/505,622.25 = 505,622.25/x
  3. Step 3: Cross multiply
    230,599.41x = 505,622.25 × 505,622.25
  4. Step 4: Simplify right side
    230,599.41x = 255,653,859,695.06
  5. Step 5: Solve for x
    x = 255,653,859,695.06/230,599.41
  6. Step 6: Final answer
    x = 1,108,649.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.